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Finding the Fourth Proportional to 192,014.40, 264,967.44 and 105,974.16

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Solution

The fourth proportional to 192,014.40, 264,967.44 and 105,974.16 is: 146,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,014.40 : 264,967.44 = 105,974.16 : x
  2. Step 2: Convert to fraction form
    192,014.40/264,967.44 = 105,974.16/x
  3. Step 3: Cross multiply
    192,014.40x = 264,967.44 × 105,974.16
  4. Step 4: Simplify right side
    192,014.40x = 28,079,701,881.35
  5. Step 5: Solve for x
    x = 28,079,701,881.35/192,014.40
  6. Step 6: Final answer
    x = 146,237.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.